Problem 1. For the trapezoidal channel cross section shown below, find the following geometric quantities in...
(c) A trapezoidal channel, as shown below, has a base width b = 6 m and side slopes 1H:1V. The channel bottom slope is S=0.0002 and the Manning roughness coefficient is n=0.014. Compute: a) the depth of uniform flow if Q = 12.1 m3/s b) the state of the flow. Y Y. b = 6 m Fig. Q2c
(I) For a trapezoidal channel with a fixed cross-sectional area of 10m2, bottom width b, depth y, and side slopes of 2H:1V, confirm that the most efficient (optimal) cross-section occurs with b / У = 21 V1+ m2-m | , where ,n=2 in this case. To do this, it is easiest to make a Matlab or Excel program with different b/y ratios and 10m2 cross-sectional area, and determine the relative flow rates. Then normalize this by the optimal flow rate...
numec
Based from Figure Q1 below, when water flows through trapezoidal channel section, the cross sectional area of the fluid (A) and the wetted perimeter of the fluid (P) are related as: 2yn Yn sin e Estimate the value of O for which P = 3 m using Secant Method, when A = 1 m2 and yn = 0.5 with 10° and 60° as the initial approximation for the e. Compute until the 8th iteration P= Yn cot@ + T...
A concrete-lined channel has a trapezoidal cross-section with a bottom width of 1.8 ft, side-slopes 1.5 (defined as horizontal: vertical), n the water depth is 2.7 ft, determine: (25 points) 2. 0.018, and a bed slope of 0.002 ft/ft. If a. Critica I depth (yd. Note: Because you need a solver to solve this problem (and I do not require a solving calculator for this midterm), all you need to do is set-up an equation that is in terms of...
14.13 (a) only
Spreadsheet from HW 3:
Manning:
1. Numerically solve for the normal depth using either MS-Excel or Matlab. Hint: your spreadsheet for critical depth in HW3 is a good place to start. 14.13 The channel in Problem 14.7 is excavated in smooth rock to a bed slope of 0.2%. Deter- mine the (a) normal depth of flow, (b) critical slope, and (c) state of flow in the channel. 14.7 A trapezoidal channel has a bed width of 3.5...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w -0.5 m and their lengths are either lı- 2 m or l2-2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityH 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on the...
Problem 2. This problem investigates the similarity between the geometric and ex- ponential random variables observed last week. Let Y be a geometric random variable with parameter p, so that Y represents the trial number of the first success in a sequence of independent Bernoulli trials. Suppose the trials occur at times , 2, . . . , and that δ and p are both very small. Let λ /δ. At time t, about t/6 trials have taken place (a)...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are eitherl 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ-1000 kg/m' and its absolute viscosityH-1 .00 x 103 N.s/m2 You are asked to perform dimensional analysis to find the drag force on the piles,...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w - 0.5 m and their lengths are either l 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w = 0.5 m and their lengths are either 11-2 m or l2 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityu- 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on...